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4.23** Which of the following forces is conservative? (a) F = k(x, 2y, 3z) where k is a constant. (b) F=k(y, x, 0). (c) F=k(-y, x, 0). For those which are conservative, find the corresponding potential energy U, and verify by direct differentiation that F = -VU.

4.23** Which of the following forces is conservative? (a) F = k(x, 2y, 3z) where k is a constant. (b) F=k(y, x, 0). (c) F=k(-y, x, 0). For those which are conservative, find the corresponding potential energy U, and verify by direct differentiation that F = -VU.

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4.23** Which of the following forces is conservative? (a) F = k(x, 2y, 3z) where k is a constant. (b) F=k(y,x, 0). (c) F = k(−y, x, 0). For those which are conservative, find the corresponding potential energy U, and verify by direct differentiation that F = -VU.
Transcribed Image Text:4.23** Which of the following forces is conservative? (a) F = k(x, 2y, 3z) where k is a constant. (b) F=k(y,x, 0). (c) F = k(−y, x, 0). For those which are conservative, find the corresponding potential energy U, and verify by direct differentiation that F = -VU.
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